Question 1:
For this case we must rewrite the following equation:
If we add 3x to both sides of the equation we have:
Thus, we have that an equivalent expression is option C.
Answer:
Option C
Question 2:
For this case we must solve the following equation:
Subtracting 5 from both sides of the equation we have:
Dividing between -5 on both sides of the equation we have:
Answer:
Option B
Since angle COB is the central angle of arc CB, the measure of arc CB = 80 degrees
Answer:
The coordinates are x=2 and y=16, or (2, 16)
Step-by-step explanation: The definition of the vertex of a parabola(the shown graph) is the highest or lowest point on the graph, depending which way the graph opens. When a graph opens upwards, towards positive y, the vertex is the lowest point. On the contrary, when the graph opens downwards, like this graph, the vertex is the highest point. On the graph, you can see clearly that the highest point on the graph has an x-value of 2 and a y-value of 16, making the vertex (2, 16)
Answer:
86.8 m long
Step-by-step explanation:
A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter
We solve the above question using the Proportion formula:
Height of the pole/Shadow of the pole = Height of the building /Shadow of the building
Height of the pole = 2.5m
Shadow of the pole = 1.34 m
Height of the building = x
Shadow of the building = 46.5m
Hence:
2.5m/1.34m = x/46.5m
Cross Multiply
1.34m × x = 2.5m × 46.5m
x = 2.5m × 46.5m/1.34m
x = 86.753731343m
Approximately , The height of the building = 86.8 m
Answer:
3/4
Step-by-step explanation:
Average change is change in y / change in x
(y2-y1)-(x2-x1)
(3-0)/(-3-(-7))
3/4
In (-7,0)
-7 is x1, 0 is y1
In (-3,3)
-3 is x2 and 3 is y2